g = - GM/r^2 so we have:
-G * M / r^2 and -G * 2 * M / (r * 3)^2
Cleaning up the equation since we don’t need the negatives or G since they are constant in both equations:
M / r^2 and 2 * M / (r * 3)^2
We’ll set M to 1 and r to 1 so we get:
1 / 1^2 and 2 * 1(1 * 3)^2
1 and 2 / 3^2 would be equivalent to 1 and 2/9.
Therefore, for every 1 kg on Earth, you would weigh 0.2222 kg on the new planet.
Given the assumptions above about the earth's mass, one's weight on the new planet (which is in another solar system) will be 0.222. (Option E)
The mass of the earth is about 5.9 quadrillion kg. Most of it is accounted for by Iron and Oxygen.
As given by the law given above, the weight is directly proportional to the mass of the planet.
Hence, it will be twice the mass. This means twice the weight.
Note that this principle also indicates that the weight is inversely proportional to the square of the planet's radius,
Therefore, three times the radius means one-ninth the weight.
When computed, this means that the weight on the planet is 2/9 or 0.222 times one's earth weight.
Learn more about the Earth's Mass at:
https://brainly.com/question/25938309
